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Finding the Fourth Proportional to 4,111.41, 5,711.78 and 4,072.98

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Solution

The fourth proportional to 4,111.41, 5,711.78 and 4,072.98 is: 5,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.41 : 5,711.78 = 4,072.98 : x
  2. Step 2: Convert to fraction form
    4,111.41/5,711.78 = 4,072.98/x
  3. Step 3: Cross multiply
    4,111.41x = 5,711.78 × 4,072.98
  4. Step 4: Simplify right side
    4,111.41x = 23,263,965.70
  5. Step 5: Solve for x
    x = 23,263,965.70/4,111.41
  6. Step 6: Final answer
    x = 5,658.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.